Q 70. - The Practice of Statistics for AP

Question

One of the following $12$ scores was omitted from the stem plot below:$84 76 92 92 88 96 68 80 92 88 76 96$

The missing number is $\left(a\right) 76. \left(b\right) 88. \left(c\right) 90. \left(d\right) 92. \left(e\right) 96.$

Step-by-Step Solution

Answer

The correct option is (d) $92$

Step 1: Given information

$84 76 92 92 88 96 68 80 92 88 76 96$

6	8
7	66
8	0488
9	2266

Step 2: Concept

Bar graphs are for categorical data, while histograms are for quantitative data. When comparing data sets of different sizes, make careful to use relative frequency histograms.

Step 3: Explanation

a/b in the stem plot denotes that an is the tens digit and b is the ones digit.

$68, 78, 76, 80, 84, 88, 88, 92, 92, 96, 96$

The values in the stem plot are as follows: We can see that the stem plot has $92$ twice, whereas the dataset has$92$ trices. As a result, $92$ is the missing number.